Answer:
SO the required are
x = 29.7°
m∠RSV = 94 .85°
Explanation:
Given:
m∠ RST = 2 x - 10
m∠TSV = x + 6
m∠RSV = 4(x-6)
To Find:
x = ? and m∠RSV = ?
Solution:
we are given a triangle TSR
And by basic geometry we know that
Sum of all angles of a triangle = 180°
In this question we are given three angles so
m∠RST + m∠TSV + m∠RSV =180°
Putting in the values
(2x - 10)+(x+6)+(4(x-6)) = 180°
it becomes
2x - 10 + x+6 + 4x -24 = 180°
2x+x+4x - 10 + 6 - 24 = 180°
7x -28 = 180°
adding 28 on both sides
7x - 28 + 28 = 180°+28
7x = 208°
divding both sides by 7
it becomes
x = 29.7°
Now
m∠RSV = 4(x-6)
m∠RSV = 4x - 24
Putting value of x
m∠RSV = 4 ( 29.7) -24
m∠RSV =118.85 - 24
m∠RSV = 94 .85°